Answer:
Current Yield is 6.94%
Explanation:
Current yield is the ratio of coupon payment of a bond to its current market price.
First we need to calculate the coupon payment by using following formula
YTM = [ C + ( F - P ) / n ] / [ ( F + P ) / 2 ]
6.87% = [ C + ( $1,000 - $1,013 ) / 11 ] / [ ( $1,000 + $1,013 ) / 2 ]
6.87% = [ C + ( $1,000 - $1,013 ) / 11 ] / [ ( $1,000 + $1,013 ) / 2 ]
6.87% = [ C - $1.18 ] / 1006.5
1,006.5 x 6.87% = C - $1.18
69.15 = C - 1.18
C = 69.15 + 1.18 = $70.3 annually
Current Yield = Annual Coupon payment / Current market price
Current Yield = $70.3 / $1,013 = 0.0694 = 6.94%
